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Phys. Rev. Lett. 91, 163201 (2003) [4 pages]

Atom-Atom Scattering under Cylindrical Harmonic Confinement: Numerical and Analytic Studies of the Confinement Induced Resonance

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T. Bergeman1,2,*, M. G. Moore1,3,†, and M. Olshanii1,4,‡
1ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA
2Department of Physics and Astronomy, SUNY, Stony Brook, New York 11794-3800, USA
3Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701, USA
4Physics Department, University of Southern California, Los Angeles, California, USA 90089

Received 24 October 2002; revised 2 June 2003; published 14 October 2003

It was recently predicted [ Phys. Rev. Lett. 81 938 (1998)] that atom-atom scattering under transverse harmonic confinement is subject to a “confinement-induced resonance” where the effective one-dimensional coupling strength diverges at a particular ratio of the confinement and scattering lengths. As the initial prediction made use of the zero-range pseudopotential approximation, we now report numerical results for finite-range interaction potentials that corroborate this resonance. In addition, we now present a physical interpretation of this effect as a novel type of Feshbach resonance in which the transverse modes of the confining potential assume the roles of “open” and “closed” scattering channels.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.163201
DOI:
10.1103/PhysRevLett.91.163201
PACS:
34.50.–s, 03.75.Nt, 05.10.–a, 05.30.Jp

*Electronic address: thbergeman@notes.cc.sunysb.edu

†Electronic address: mmoore@helios.phy.ohiou.edu

‡Electronic address: olshanii@phys4adm.usc.edu

 
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